Statistical Approximation of Positive Linear Operators

M. Mursaleen and S. A. Mohiuddine
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M. Mursaleen: Aligarh Muslim University, Department of Mathematics
S. A. Mohiuddine: King Abdulaziz University, Department of Mathematics

Chapter Chapter 8 in Convergence Methods for Double Sequences and Applications, 2014, pp 133-148 from Springer

Abstract: Abstract In this chapter, we present some Korovkin-type approximation theorems for functions of two variables via statistical convergence, A-statistical convergence, and statistical A-summability. We also study rates of A-statistical convergence of a double sequence of positive linear operators. Through some concrete examples, we show that the results present in this chapter are stronger than the classical results.

Keywords: Statistical approximation; Korovkin type approximation theorems via statistical A-summability; Bernstein operators; Korovkin type theorem via A-statistical convergence; Baskakov operators of two variables; A-statistical approximation for periodic functions; Rate of A-statistical convergence; Fejér operators (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-1611-7_8

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DOI: 10.1007/978-81-322-1611-7_8

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